• 追加ついか — addition, supplement
• 追求ついきゅう — pursuit (of truth, ideals)
• 追跡ついせき — tracking, pursuit
• 追放ついほう — expulsion, exile
• 追突ついとつ — rear-end collision

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追 combines the 辶 (しんにょう: movement/running) radical with the phonetic ⻌ and ヨ (yo). It captures the idea of moving forward to follow or catch up with something or someone.

犬が猫ねこを追おいかけている。
The dog is chasing the cat.

追つい加かの説明せつめいをします。
I will add an additional explanation.